Are you noticing the action sheet taking half a second to show up?
Since iOS 7, when I tap the share button there's a half-a-second delay before the action sheet shows up. This on iPhone 5, iPad 4, and iPad mini 2.
I just assumed everyone had that problem, because it happens on all of my devices. And if I remember correctly, on a friend's iPad mini 2 it happens the same.
But on the other hand some days ago I sent an email to Tim Cook complaining about the trainwreck that was iOS 7 performance-wise, and today I ended up (through their Executives Relations) talking on the phone to someone at Apple about this, and she told me with a voice that sounded sincere that this bug wasn't at scale, after I asked her for that. Also, it's weird that this wouldn't fixed in the iOS 9 beta by now.
So I'd like to know, do you experience this, the action sheet taking half a second to show up? This has been driving me nuts since two years.